Triangle Angle Sum and Exterior Angle Theorem

Front

What is the Triangle Angle Sum Theorem?

Back

The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 50 degrees and another is 60 degrees, what is the measure of the third angle?

Back

70 degrees (180 - 50 - 60 = 70).

Front

What is an exterior angle of a triangle?

Back

An exterior angle is formed by one side of the triangle and the extension of an adjacent side.

Front

What does the Exterior Angle Theorem state?

Back

The Exterior Angle Theorem states that the measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

If angle A is 40 degrees and angle B is 70 degrees, what is the measure of the exterior angle at vertex C?

Back

110 degrees (40 + 70 = 110).

Front

How do you find the measure of an unknown angle in a triangle?

Back

Subtract the sum of the known angles from 180 degrees.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, one angle is 90 degrees, and the sum of the other two angles is 90 degrees.

Front

If angle A is 30 degrees and angle B is 60 degrees, what is angle C?

Back

90 degrees (180 - 30 - 60 = 90).

Front

What is the formula for finding the sum of angles in a triangle?

Back

Sum = Angle 1 + Angle 2 + Angle 3 = 180 degrees.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles would exceed 180 degrees.